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    Wyświetlanie 1-4 z 4
    Tytuł:
    The queueing system M2X/M/n with hysteretic control of the input flow intensity
    Autorzy:
    Zhernovyi, Y.
    Kopytko, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/122868.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    multi-channel queueing system
    batch arrival of customers
    hysteretic control of the input flow intensity
    stationary characteristics
    Opis:
    We consider a multi-channel queueing system with unlimited queue and with exponentially distributed service time and the intervals between the arrival of customers batches, which uses a hysteretic control mechanism of the input flow intensity. The system receives two independent flows of customers, one of which is blocked in an overload mode. An algorithm for finding the stationary distribution of the number of customers and stationary characteristics (the mean queue length, the mean waiting time in the queue, the probability of customers loss) is proposed. The obtained results are verified with the help of a simulation model constructed with the assistance of GPSS World tools.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 149-161
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The potentials method for a closed queueing system with hysteretic strategy of the service time change
    Autorzy:
    Zhernovyi, Y.
    Kopytko, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/122638.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    queueing system with a finite number of sources
    hysteretic strategy for service time
    potentials method
    stationary characteristics
    metoda potencjałów
    charakterystyka stacjonarna
    Opis:
    We propose a method for determining the characteristics of a single-channel closed queueing system with an exponential distribution of the time generation of service requests and arbitrary distributions of the service times. In order to increase the system capacity, two service modes (the main mode and overload mode), with the service time distribution functions F ( x ) and F ( x ) respectively, are used. The overload mode starts functioning if at the beginning of service of the next customer the number of customers in the system ξ(t ) satisfies the condition ξ (t ) > h2. The return to the main mode carried out at the beginning of service of the customer, for which ξ (t ) = h1, where 1 ≤ h1 < h2. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 131-143
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change
    Autorzy:
    Zhernovyi, Y.
    Kopytko, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/122350.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    single-channel queueing system
    random dropping of customers
    hysteretic strategy for service time
    potentials method
    stationary characteristics
    system kolejkowania jednokanałowy
    metoda potencjałów
    charakterystyka stacjonarna
    czas obsługi
    Opis:
    We propose a method for determining the probabilistic characteristics of the M/G/1/m queueing system with the random dropping of arrivals and distribution of the service time depending on the queue length. Two sets of service modes, with the service time distribution functions Fn (x) and Fn (x) respectively, are used according to the twothreshold hysteretic strategy. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 197-210
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of the queueing network with a random waiting time of negative customers at a non-stationary regime
    Autorzy:
    Naumenko, V.
    Matalytski, M.
    Kopats, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/122923.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    G-network
    positive customers
    negative customers
    random waiting time
    heavy-traffic regime
    state probabilities
    mean characteristics
    non-stationary regime
    sieci kolejkowe
    sieć G
    pozytywny klient
    negatywny klient
    czas oczekiwania
    równania różniczkowe
    Opis:
    In the article a queueing network (QN) with positive customers and a random waiting time of negative customers has been investigated. Negative customers destroy positive customers on the expiration of a random time. Queueing systems (QS) operate under a heavy-traffic regime. The system of difference-differential equations (DDE) for state probabilities of such a network was obtained. The technique of solving this system and finding mean characteristics of the network, which is based on the use of multivariate generating functions was proposed.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 111-122
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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